Statistics Quiz

Directions: Identify whether each type of data is quantitative (numerical) or qualitative (categorical).
1. Height of students in your class: ________________

• Quantitative

• Qualitative

Answer explanation

The height of students is a measurable value expressed in numbers, making it quantitative data. Quantitative data represents numerical information, while qualitative data refers to descriptive categories.

Identify whether each type of data is quantitative (numerical) or qualitative (categorical).
3. Number of pets owned: ________________

• Quantitative

• Qualitative

Answer explanation

The number of pets owned is a countable value, making it quantitative (numerical). It represents a measurable quantity, unlike qualitative data, which describes characteristics or categories.

Identify whether each type of data is quantitative (numerical) or qualitative (categorical). Eye color: ____________

• Qualitative

• Quantitative

Answer explanation

Eye color is a characteristic that describes a quality or attribute, making it qualitative (categorical) data. It cannot be measured numerically, which distinguishes it from quantitative data.

Identify whether each type of data is quantitative (numerical) or qualitative (categorical).
6. Brand of smartphone: ________________

• Qualitative

• Quantitative

Answer explanation

The brand of smartphone is a category that describes a type of product, making it qualitative (categorical) data. It does not represent a numerical value.

Identify whether each type of data is quantitative (numerical) or qualitative (categorical).
7. Hours spent on homework per night: ________________

• Quantitative

• Qualitative

Answer explanation

Hours spent on homework per night is a numerical value, representing a measurable quantity. Therefore, it is classified as quantitative data.

Identify whether each type of data is quantitative (numerical) or qualitative (categorical).
8. Letter grades (A, B, C, D, F):

• Qualitative

• Quantitative

Answer explanation

Letter grades (A, B, C, D, F) represent categories of performance rather than numerical values. Therefore, they are classified as qualitative (categorical) data.

Tags

NGSS.MS-PS3-1

The table below shows the number of books read by students in Ms. Johnson's class last month: Books read: 3, 5, 2, 8, 4, 6, 3, 7, 5, 4, 9, 2, 6, 5, 3.
1. Find the mean (average):

• Sum: 77, Number of values: 15, Mean: 5.13 (rounded to two decimal places)

• Sum: 80, Number of values: 15, Mean: 5.33 (rounded to two decimal places)

• Sum: 70, Number of values: 15, Mean: 4.67 (rounded to two decimal places)

• Sum: 75, Number of values: 15, Mean: 5.00 (rounded to two decimal places)

Answer explanation

To find the mean, sum the books read: 3+5+2+8+4+6+3+7+5+4+9+2+6+5+3 = 77. There are 15 values. Mean = 77/15 = 5.13. Thus, the correct choice is Sum: 77, Number of values: 15, Mean: 5.13.

The table below shows the number of books read by students in Ms. Johnson's class last month: Books Read: 3, 5, 2, 8, 4, 6, 3, 7, 5, 4, 9, 2, 6, 5, 3.
1. Find the median (middle value):
First, arrange the data in order: ______________________________________

• Median: 5

• Median: 3

• Median: 7

• Median: 9

Answer explanation

To find the median, first arrange the data: 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9. With 15 values, the median is the 8th value, which is 5.

The table below shows the number of books read by students in Ms. Johnson's class last month: 3, 5, 2, 8, 4, 6, 3, 7, 5, 4, 9, 2, 6, 5, 3.
1. Find the mode (most frequent value):

• 3 and 5 (both appear 3 times)

• 3 only

• 5 only

• No mode

Answer explanation

To find the mode, we count the frequency of each number. Both 3 and 5 appear 3 times, making them the most frequent values. Therefore, the mode is 3 and 5.

The table below shows the number of books read by students in Ms. Johnson's class last month: 3, 5, 2, 8, 4, 6, 3, 7, 5, 4, 9, 2, 6, 5, 3, 4. Find the range:

• Highest value: 9, Lowest value: 2, Range: 7

• Highest value: 8, Lowest value: 3, Range: 5

• Highest value: 9, Lowest value: 3, Range: 6

• Highest value: 8, Lowest value: 2, Range: 6

Answer explanation

To find the range, subtract the lowest value (2) from the highest value (9). Thus, 9 - 2 = 7. The correct choice is: Highest value: 9, Lowest value: 2, Range: 7.